<p>Cool. A Brit. I’m the only one here who’s also been in the British curriculum and the American one so here’s what I’ll tell you:</p>
<p>Year 9 is the last year of Key Stage 3, before you go onto GCSEs. I don’t remember what I covered in KS3, but I’m in my last year of GCSE Maths(year 11 - grade 10). Since I’m studying for it right now, I’ll just tell you this is whats covered over the 2 years(from my textbook and memory):</p>
<p>Year 1 of GCSE(freshman):
Core Algebra - functions, simultaneous equations, graphics of functions, quadratic equations, subject of formula, factorising quadratics, linear equations etc
Core Geometry - Circular geometry, loci, angle rules, cyclic quadrilaterals, circle theorems, constructions, bisectors, graphical symmetry, similar shapes + review of parallel lines and all that jazz
Core Mensuration - volumes of volumetric shapes, surface area of volumetric shapes, arc length, chord length, sector area
Core Statistics - Histograms(freq density etc), probability, speed-time graphs, advanced mean/median/mode
Core Trigonometry - right-angled triangles, pythagoras, trigonometric ratios(SOHCAHTOA)</p>
<p>Year 2 of GCSE - Extended Maths(sophomore):
Extended Algebra: Advanced polynomials, linear programming, exponentials, binomial theorem, matrices, basic linear algebra, imaginary numbers, set notation, logarithmic functions etc
Extended Geometry: vectors, matrices transformations
Extended Mensuration: Conic sections
Extended Statistics: Sigma notation and some really simple stuff that isn’t worth mentioning
Extended Trig: Radian measure, inverse trig functions, cosine rule, sine rule, area of triangle rule
Core Calculus: Basic differentiation(finding derivatives and stuff), introduction to limits(REALLY, REALLY, basic calculus - nothing like AP)</p>
<p>Some are selected to be put in the advanced class where they do Core+Extended in 1 year, in which case in Sophomore year they do the “IGCSE Ad. Maths” course. I’ll just be pasting the syllabus and deleting the explanations, because I have no idea *** this stuff is - i’m in the regular class.</p>
<p>Ad. Mathematics (Short Course):
Advanced Statistics: Standard deviation (took out subheadings cause it was a page), interquartile range, binomial distribution, some other stuff that looks simple but theres a ton of it
Advanced Algebra: Infinite series, proofs for convergent and divergent series, proof by mathematical induction, advanced sets(codomains), Cartesian form, De Moivre’s theorem
Advanced Trigonometry: Angle identities, something about finite intervals
Extended Calculus: Limits and convergence, anti-differentiation, definite integrals, kinematic problems.</p>
<p>Ad. Maths kids are the only ones allowed to do the “IB Further Mathematics SL” along with “IB Math HL”. The rest of us normal guys can just do Math SL or Math HL.</p>
<p>Okay this was a long post…so I’ll just tell you what I think, judging from this. I think you should really be doing Geometry or even Algebra II. You’ve bound to have covered 70% of the Algebra I syllabus already. The curriculum at KS3 can be made advanced - so maybe you could be doing Algebra II, but I don’t know.</p>